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Finding the Third Proportional to 144,159.75 and 309,642.75

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Solution

The third proportional to 144,159.75 and 309,642.75 is: 665,086.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,159.75 : 309,642.75 = 309,642.75 : x
  2. Step 2: Convert to fraction form
    144,159.75/309,642.75 = 309,642.75/x
  3. Step 3: Cross multiply
    144,159.75x = 309,642.75 × 309,642.75
  4. Step 4: Simplify right side
    144,159.75x = 95,878,632,627.56
  5. Step 5: Solve for x
    x = 95,878,632,627.56/144,159.75
  6. Step 6: Final answer
    x = 665,086.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.